Question

A bank quotes a stated annual interest rate of 4.00%. If that rate is equal to an effective annual rate of 4.08%, then the bank is compounding interest:________.
A) daily

B) quarterly.

Answer 1

Answer: Quarterly

Explanation:

Annual interest rate = 4.00%

Effective annual rate = 4.08%

To know if the bank is compounding interest daily or quarterly goes thus:

Effective Annual rate can be calculated using:

= (1+Periodic rate)^number of compounding periods - 1

Therefore, we calculate the daily compounding effective annual rate which will be:

= (1+4%/365)^365 - 1

= (1 + 0.04365)^365 - 1

= 4.08%

For Quarterly EAR, this will be:

= (1+4%/4)^4 - 1

= (1 + 0.04/4)^4 - 1

= 4.06%

Therefore, the a bank is compounding interest Quarterly